Logarithmic Orbifold Euler Numbers of Surfaces with Applications
Logarithmic Orbifold Euler Numbers of Surfaces with Applications
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曲面的对数轨道欧拉数及其应用
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
A. Langer
中科院分区：
文献类型：
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作者：
A. Langer
我们引入了具有边界Q因子的法向曲面的轨道欧拉数。这些数字的行为乘法有限映射和日志典型的情况下，我们证明了他们满足Bogomolov-Miyaoka-Yau型不等式。G. Megyesi [Proc.伦敦数学学会论文集（3）78（1999）241-282]。大部分的文件是致力于当地orbifold欧拉数的性质和他们的计算。
We introduce orbifold Euler numbers for normal surfaces with boundary Q‐divisors. These numbers behave multiplicatively under finite maps and in the log canonical case we prove that they satisfy the Bogomolov–Miyaoka–Yau type inequality. Existence of such a generalization was earlier conjectured by G. Megyesi [Proc. London Math. Soc. (3) 78 (1999) 241–282]. Most of the paper is devoted to properties of local orbifold Euler numbers and to their computation.